A taxi company charges $4.00 for the first mile (or part of a mile) and 80 cents for each succeeding tenth of a mile (or part).

Question

Express the cost C (in dollars) of a ride as a piecewise defined function of the distance x traveled (in miles) for 0 < x ≤ 2.

_________ if 0 less than x less than or equal to 1

_________ if 1 less than x less than or eaul to 1.1

_________ if 1.1 is less than x less than or equal to 1.2

__________ if 1.9 less than x less than or equal to 2

Answer 1

$4

$4 + 1*($0.80)

$4 + 2*($0.80)

$4 + 10*($0.80)

generic formula:

$4 + ($0.80) * (x-1) / 0.10

base + incremental rate * (number of miles in excess of the first mile) / (fractional mileage incremental unit)